40553881200 has 720 divisors, whose sum is σ = 175629592320. Its totient is φ = 8778792960.

The previous prime is 40553881177. The next prime is 40553881211. The reversal of 40553881200 is 218835504.

It is a happy number.

40553881200 is a `hidden beast` number, since 4 + 0 + 553 + 8 + 81 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12926032 + ... + 12929168.

Almost surely, 2^40553881200 is an apocalyptic number.

40553881200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40553881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87814796160).

40553881200 is an abundant number, since it is smaller than the sum of its proper divisors (135075711120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40553881200 is a wasteful number, since it uses less digits than its factorization.

40553881200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 40553881200 in words is "forty billion, five hundred fifty-three million, eight hundred eighty-one thousand, two hundred".